Answer:
x=2 y=1
Step-by-step explanation:
Solve the equations by substituting y=6x-11 into -2x-3y=-7.
-2x-3(6x-11)=-7
-2x-18x+33=-7
-20x+33=-7
-20x=-7-33
-20x=-40
x=2
To find y, substitute this value into the equation and solve for y.
y=6(2)-11
y=12-11
y=1
9514 1404 393
Answer:
156 cm³
Step-by-step explanation:
The volume of any prism is the product of the base area and the height of the prism. Here, we can take the "base" to be the front face of the assembly, and its "height" to be the 3 cm distance between the front and back faces.
The front face area is the sum of the triangle area and the rectangle area.
A = 1/2bh + LW
A = (1/2)(10 cm)(4 cm) + (16 cm)(2 cm) = 52 cm²
Then the volume is ...
V = Bh = (52 cm²)(3 cm) = 156 cm³ . . . . total volume of the two blocks
Answer:
1) Parallel lines are "ALWAYS"
coplanar.
2) Perpendicular lines ARE "ALWAYS"
coplanar.
3) Distance around an unmarked circle CAN "NEVER" be measured
Step-by-step explanation:
1) Coplanar means lines that lie in the same plane. Now, for a line to be parallel to another line, it must lie in the same plane as the other line otherwise it is no longer a parallel line. Thus, parallel lines are always Coplanar.
2) similar to point 1 above, perpendicular lines are Coplanar. This is because perpendicular lines intersect each other at right angles and it means they must exist in the same plane for that to happen. Thus, they are always Coplanar.
3) to have the distance, we need to have the circle marked out. Because it is from the marked out circle that we can measure radius, diameter and find other distances around the circle. Thus, distance around an unmarked circle can never be measured.
